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Finding the Third Proportional to 221,876.75 and 485,959.25

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Solution

The third proportional to 221,876.75 and 485,959.25 is: 1,064,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,876.75 : 485,959.25 = 485,959.25 : x
  2. Step 2: Convert to fraction form
    221,876.75/485,959.25 = 485,959.25/x
  3. Step 3: Cross multiply
    221,876.75x = 485,959.25 × 485,959.25
  4. Step 4: Simplify right side
    221,876.75x = 236,156,392,660.56
  5. Step 5: Solve for x
    x = 236,156,392,660.56/221,876.75
  6. Step 6: Final answer
    x = 1,064,358.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.